| 混合似变分不等式的一个新预解算法 |
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| 引用本文： | 万波.混合似变分不等式的一个新预解算法[J].重庆工商大学学报(自然科学版),2007,24(5):467-469. |
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| 作者姓名： | 万波 |
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| 作者单位： | 重庆工商大学理学院,重庆,400067 |
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| 摘 要： | 研究了混合似变分不等式的若干迭代算法,利用混合似变分不等式与不动点问题和预解方程这一等价关系,并结合预测-校正迭代算法技巧,给出了一种全新的求解混合似变分不等式的预解迭代算法.在算子是伪单调连续条件下,证明了新提出算法的收敛性.
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| 关 键 词： | 混合似变分不等式 迭代算法 收敛 预测-校正算法 |
| 文章编号： | 1672-058X（2007）05-0467-03 |
| 收稿时间： | 2007-01-18 |
| 修稿时间： | 2007-03-28 |
A new resolvent algorithm for mixed quasivariational inequalities |
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| WAN Bo.A new resolvent algorithm for mixed quasivariational inequalities[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2007,24(5):467-469. |
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| Authors: | WAN Bo |
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| Institution: | College of Science, Chongqing Technology and Business University, Chongqing 400067 ,China |
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| Abstract: | In this paper,the author studies several iterative methods for solving mixed quasi-variational inequalites.It is well known that the mixed quasi-variational inequalities are equivalent to the fixed point problems and the resolvent equations.Using this equivalence and combining prediction-correction method technique,the author suggests and analyzes a new resolvent iterative method for solving mixed quasi-variational inequalities.These methods converge for pseudomonotone and continuous operators. |
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| Keywords: | mixed quasivariational inequalities iterative methods convergence prediction-correction method |
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